Paxton’s victory in Tuesday’s runoff makes Cornyn the first Republican senator from Texas to lose the party’s nomination for reelection. DALLAS — Texas Attorney General Ken Paxton won the Republican nomination for U.S. Senatedefeating four-term Sen. John Cornyn. Paxton was endorsed by President Donald Trump last week. His victory in Tuesday’s runoff makes Cornyn the first Republican senator from Texas to lose the party’s nomination for reelection. Trump endorsed Paxton as part of his effort to dislodge GOP officeholders he views as less than devout in their support of him. Cornyn said in 2023 as Trump was running to return…